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3 years ago

Solve for t. 3/4t = 1/4 A.1/3 B.1 C.4/3 D.4

Mathematics

2 answers:

Alika [10]3 years ago

8 0

We have..
$\frac{3}{4}t=\frac{1}{4}$

$\mathrm{Multiply\:both\:sides\:by\:}4 \ \textgreater \ 4\cdot \frac{3}{4}t=\frac{1\cdot \:4}{4} \ \textgreater \ Next\;simplify$

$4\cdot \frac{3}{4}t \ \textgreater \ \mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \ \frac{3\cdot \:4}{4}t$

$\mathrm{Cancel\:the\:common\:factor:}\:4 \ \textgreater \ t\cdot \:3$

$\frac{1\cdot \:4}{4} \ \textgreater \ \mathrm{Multiply\:the\:numbers:}\:1\cdot \:4=4 \ \textgreater \ \frac{4}{4}$

$\mathrm{Apply\:rule}\:\frac{a}{a}=1$

$3t=1 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}3 \ \textgreater \ \frac{3t}{3}=\frac{1}{3} \ \textgreater \ t=\frac{1}{3}$

Hope this helps!

Andreyy893 years ago

4 0

I have included a picture. In the picture you will find the work shown and the answer.

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Answer:

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Step-by-step explanation:

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A line includes the points (4, 8) and (3, 5).The equation of the line will be:

$m=\frac{5-8}{3-4}=3$

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3 years ago

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Vaselesa [24]

Answer:

Step-by-step explanation:

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3 years ago

A plane flew 360km in 3 hrs when flying with the wind.With no change in the wind,the return trip took 4 hrs.Find the speed of th

morpeh [17]

Speed of the plane: 250 mph
Speed of the wind: 50 mph
Explanation:
Let p = the speed of the plane
and w = the speed of the wind
It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. So we set up a system of equations.
600
m
i
3
h
r
=
p
−
w
600
m
i
2
h
r
=
p
+
w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation. I'll solve for x in the first equation:
200mph = p - w
Add w to both sides:
p = 200mph + w
Now we can substitute the x that we found in the first equation into the second equation so we can solve for w:
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
Divide by 2:
50mph = w
So the speed of the wind is 50mph.
Now plug the value we just found back in to either equation to find the speed of the plane, I'll plug it into the first equation:
200mph = p - 50mph
Add 50mph on both sides:
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3 years ago

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SVEN [57.7K]

Answer:

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Step-by-step explanation:

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4 years ago

Read 2 more answers

Write two ratios equivalent to 24 : 9.

notsponge [240]

Answer:

8:3

16:6

Step-by-step explanation:

First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).

Factors of 9: 1, 3, 9

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.

1 < 3

Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).

24:9

24/3:9/3

8:3

Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. 8:3 is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:

8:3

8 ⋅ 2:3 ⋅ 2

16:6

So, another equivalent ratio to 24:9 (and 8:3) is 16:6.

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